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Finding the Fourth Proportional to 80,205.20, 120,307.80 and 73,206.80

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Solution

The fourth proportional to 80,205.20, 120,307.80 and 73,206.80 is: 109,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,205.20 : 120,307.80 = 73,206.80 : x
  2. Step 2: Convert to fraction form
    80,205.20/120,307.80 = 73,206.80/x
  3. Step 3: Cross multiply
    80,205.20x = 120,307.80 × 73,206.80
  4. Step 4: Simplify right side
    80,205.20x = 8,807,349,053.04
  5. Step 5: Solve for x
    x = 8,807,349,053.04/80,205.20
  6. Step 6: Final answer
    x = 109,810.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.